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        <a href="octant-module.html">Package&nbsp;octant</a> ::
        <a href="octant.sw-module.html">Package&nbsp;sw</a> ::
        Module&nbsp;density
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<h1 class="epydoc">Source Code for <a href="octant.sw.density-module.html">Module octant.sw.density</a></h1>
<pre class="py-src">
<a name="L1"></a><tt class="py-lineno">  1</tt>  <tt class="py-line"><tt class="py-comment"># --- encoding: iso-8859-1 ---</tt> </tt>
<a name="L2"></a><tt class="py-lineno">  2</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L3"></a><tt class="py-lineno">  3</tt>  <tt class="py-line"><tt class="py-docstring">"""Seawater density module</tt> </tt>
<a name="L4"></a><tt class="py-lineno">  4</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L5"></a><tt class="py-lineno">  5</tt>  <tt class="py-line"><tt class="py-docstring">dens(S, T[, P])   -- Density</tt> </tt>
<a name="L6"></a><tt class="py-lineno">  6</tt>  <tt class="py-line"><tt class="py-docstring">svan(S, T[, P])   -- Specific volume anomaly</tt> </tt>
<a name="L7"></a><tt class="py-lineno">  7</tt>  <tt class="py-line"><tt class="py-docstring">sigma(S, T[, P])  -- Density anomaly</tt> </tt>
<a name="L8"></a><tt class="py-lineno">  8</tt>  <tt class="py-line"><tt class="py-docstring">drhodt(S, T[, P]) -- Temperature derivative of density</tt> </tt>
<a name="L9"></a><tt class="py-lineno">  9</tt>  <tt class="py-line"><tt class="py-docstring">alpha(S, T[, P])  -- Thermal expansion coefficient</tt> </tt>
<a name="L10"></a><tt class="py-lineno"> 10</tt>  <tt class="py-line"><tt class="py-docstring">drhods(S, T[, P]) -- Salinity derivative of density</tt> </tt>
<a name="L11"></a><tt class="py-lineno"> 11</tt>  <tt class="py-line"><tt class="py-docstring">beta(S, T[, P])   -- Saline expansion coefficient</tt> </tt>
<a name="L12"></a><tt class="py-lineno"> 12</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L13"></a><tt class="py-lineno"> 13</tt>  <tt class="py-line"><tt class="py-docstring">Bj&#248;rn &#197;dlandsvik &lt;bjorn@imr.no&gt;, 07 November 2004</tt> </tt>
<a name="L14"></a><tt class="py-lineno"> 14</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L15"></a><tt class="py-lineno"> 15</tt>  <tt class="py-line"><tt class="py-docstring">"""</tt> </tt>
<a name="L16"></a><tt class="py-lineno"> 16</tt>  <tt class="py-line"> </tt>
<a name="L17"></a><tt class="py-lineno"> 17</tt>  <tt class="py-line"><tt class="py-comment"># -----------------------------------------------</tt> </tt>
<a name="L18"></a><tt class="py-lineno"> 18</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="_dens0"></a><div id="_dens0-def"><a name="L19"></a><tt class="py-lineno"> 19</tt> <a class="py-toggle" href="#" id="_dens0-toggle" onclick="return toggle('_dens0');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#_dens0">_dens0</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="_dens0-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_dens0-expanded"><a name="L20"></a><tt class="py-lineno"> 20</tt>  <tt class="py-line">    <tt class="py-docstring">"""Density of seawater at zero pressure"""</tt> </tt>
<a name="L21"></a><tt class="py-lineno"> 21</tt>  <tt class="py-line"> </tt>
<a name="L22"></a><tt class="py-lineno"> 22</tt>  <tt class="py-line">    <tt class="py-comment"># --- Define constants ---</tt> </tt>
<a name="L23"></a><tt class="py-lineno"> 23</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">a0</tt> <tt class="py-op">=</tt> <tt class="py-number">999.842594</tt> </tt>
<a name="L24"></a><tt class="py-lineno"> 24</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt>   <tt class="py-number">6.793952e-2</tt> </tt>
<a name="L25"></a><tt class="py-lineno"> 25</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">9.095290e-3</tt> </tt>
<a name="L26"></a><tt class="py-lineno"> 26</tt>  <tt class="py-line">    <tt class="py-name">a3</tt> <tt class="py-op">=</tt>   <tt class="py-number">1.001685e-4</tt> </tt>
<a name="L27"></a><tt class="py-lineno"> 27</tt>  <tt class="py-line">    <tt class="py-name">a4</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">1.120083e-6</tt> </tt>
<a name="L28"></a><tt class="py-lineno"> 28</tt>  <tt class="py-line">    <tt class="py-name">a5</tt> <tt class="py-op">=</tt>   <tt class="py-number">6.536332e-9</tt> </tt>
<a name="L29"></a><tt class="py-lineno"> 29</tt>  <tt class="py-line"> </tt>
<a name="L30"></a><tt class="py-lineno"> 30</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt>   <tt class="py-number">8.24493e-1</tt> </tt>
<a name="L31"></a><tt class="py-lineno"> 31</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">4.0899e-3</tt> </tt>
<a name="L32"></a><tt class="py-lineno"> 32</tt>  <tt class="py-line">    <tt class="py-name">b2</tt> <tt class="py-op">=</tt>   <tt class="py-number">7.6438e-5</tt> </tt>
<a name="L33"></a><tt class="py-lineno"> 33</tt>  <tt class="py-line">    <tt class="py-name">b3</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">8.2467e-7</tt> </tt>
<a name="L34"></a><tt class="py-lineno"> 34</tt>  <tt class="py-line">    <tt class="py-name">b4</tt> <tt class="py-op">=</tt>   <tt class="py-number">5.3875e-9</tt> </tt>
<a name="L35"></a><tt class="py-lineno"> 35</tt>  <tt class="py-line"> </tt>
<a name="L36"></a><tt class="py-lineno"> 36</tt>  <tt class="py-line">    <tt class="py-name">c0</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">5.72466e-3</tt> </tt>
<a name="L37"></a><tt class="py-lineno"> 37</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt>   <tt class="py-number">1.0227e-4</tt> </tt>
<a name="L38"></a><tt class="py-lineno"> 38</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt>  <tt class="py-op">-</tt><tt class="py-number">1.6546e-6</tt> </tt>
<a name="L39"></a><tt class="py-lineno"> 39</tt>  <tt class="py-line"> </tt>
<a name="L40"></a><tt class="py-lineno"> 40</tt>  <tt class="py-line">    <tt class="py-name">d0</tt> <tt class="py-op">=</tt>   <tt class="py-number">4.8314e-4</tt> </tt>
<a name="L41"></a><tt class="py-lineno"> 41</tt>  <tt class="py-line"> </tt>
<a name="L42"></a><tt class="py-lineno"> 42</tt>  <tt class="py-line">    <tt class="py-comment"># --- Computations ---</tt> </tt>
<a name="L43"></a><tt class="py-lineno"> 43</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-comment"># Density of pure water</tt> </tt>
<a name="L44"></a><tt class="py-lineno"> 44</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">SMOW</tt> <tt class="py-op">=</tt> <tt class="py-name">a0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a3</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a4</tt> <tt class="py-op">+</tt> <tt class="py-name">a5</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L45"></a><tt class="py-lineno"> 45</tt>  <tt class="py-line"> </tt>
<a name="L46"></a><tt class="py-lineno"> 46</tt>  <tt class="py-line">    <tt class="py-comment"># More temperature polynomials</tt> </tt>
<a name="L47"></a><tt class="py-lineno"> 47</tt>  <tt class="py-line"><tt class="py-comment"></tt>    <tt class="py-name">RB</tt> <tt class="py-op">=</tt> <tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b3</tt> <tt class="py-op">+</tt> <tt class="py-name">b4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L48"></a><tt class="py-lineno"> 48</tt>  <tt class="py-line">    <tt class="py-name">RC</tt> <tt class="py-op">=</tt> <tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c1</tt> <tt class="py-op">+</tt> <tt class="py-name">c2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L49"></a><tt class="py-lineno"> 49</tt>  <tt class="py-line">     </tt>
<a name="L50"></a><tt class="py-lineno"> 50</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">SMOW</tt> <tt class="py-op">+</tt> <tt class="py-name">RB</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> <tt class="py-op">+</tt> <tt class="py-name">RC</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">1.5</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">d0</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">*</tt><tt class="py-name">S</tt>  </tt>
</div><a name="L51"></a><tt class="py-lineno"> 51</tt>  <tt class="py-line">        </tt>
<a name="L52"></a><tt class="py-lineno"> 52</tt>  <tt class="py-line"><tt class="py-comment"># -----------------------------------------------------------------</tt> </tt>
<a name="L53"></a><tt class="py-lineno"> 53</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="_seck"></a><div id="_seck-def"><a name="L54"></a><tt class="py-lineno"> 54</tt> <a class="py-toggle" href="#" id="_seck-toggle" onclick="return toggle('_seck');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#_seck">_seck</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt> <tt class="py-param">T</tt><tt class="py-op">,</tt> <tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="_seck-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_seck-expanded"><a name="L55"></a><tt class="py-lineno"> 55</tt>  <tt class="py-line">    <tt class="py-docstring">"""Secant bulk modulus"""</tt> </tt>
<a name="L56"></a><tt class="py-lineno"> 56</tt>  <tt class="py-line">   </tt>
<a name="L57"></a><tt class="py-lineno"> 57</tt>  <tt class="py-line">    <tt class="py-comment"># --- Pure water terms ---</tt> </tt>
<a name="L58"></a><tt class="py-lineno"> 58</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L59"></a><tt class="py-lineno"> 59</tt>  <tt class="py-line">    <tt class="py-name">h0</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.239908</tt>   </tt>
<a name="L60"></a><tt class="py-lineno"> 60</tt>  <tt class="py-line">    <tt class="py-name">h1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.43713E-3</tt> </tt>
<a name="L61"></a><tt class="py-lineno"> 61</tt>  <tt class="py-line">    <tt class="py-name">h2</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.16092E-4</tt> </tt>
<a name="L62"></a><tt class="py-lineno"> 62</tt>  <tt class="py-line">    <tt class="py-name">h3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.77905E-7</tt> </tt>
<a name="L63"></a><tt class="py-lineno"> 63</tt>  <tt class="py-line">    <tt class="py-name">AW</tt> <tt class="py-op">=</tt> <tt class="py-name">h0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">h1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">h2</tt> <tt class="py-op">+</tt> <tt class="py-name">h3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L64"></a><tt class="py-lineno"> 64</tt>  <tt class="py-line"> </tt>
<a name="L65"></a><tt class="py-lineno"> 65</tt>  <tt class="py-line">    <tt class="py-name">k0</tt> <tt class="py-op">=</tt>  <tt class="py-number">8.50935E-5</tt>   </tt>
<a name="L66"></a><tt class="py-lineno"> 66</tt>  <tt class="py-line">    <tt class="py-name">k1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.12293E-6</tt> </tt>
<a name="L67"></a><tt class="py-lineno"> 67</tt>  <tt class="py-line">    <tt class="py-name">k2</tt> <tt class="py-op">=</tt>  <tt class="py-number">5.2787E-8</tt> </tt>
<a name="L68"></a><tt class="py-lineno"> 68</tt>  <tt class="py-line">    <tt class="py-name">BW</tt> <tt class="py-op">=</tt> <tt class="py-name">k0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">k1</tt> <tt class="py-op">+</tt> <tt class="py-name">k2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L69"></a><tt class="py-lineno"> 69</tt>  <tt class="py-line"> </tt>
<a name="L70"></a><tt class="py-lineno"> 70</tt>  <tt class="py-line">    <tt class="py-name">e0</tt> <tt class="py-op">=</tt> <tt class="py-number">19652.21</tt> </tt>
<a name="L71"></a><tt class="py-lineno"> 71</tt>  <tt class="py-line">    <tt class="py-name">e1</tt> <tt class="py-op">=</tt> <tt class="py-number">148.4206</tt> </tt>
<a name="L72"></a><tt class="py-lineno"> 72</tt>  <tt class="py-line">    <tt class="py-name">e2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.327105</tt> </tt>
<a name="L73"></a><tt class="py-lineno"> 73</tt>  <tt class="py-line">    <tt class="py-name">e3</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.360477E-2</tt> </tt>
<a name="L74"></a><tt class="py-lineno"> 74</tt>  <tt class="py-line">    <tt class="py-name">e4</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.155288E-5</tt> </tt>
<a name="L75"></a><tt class="py-lineno"> 75</tt>  <tt class="py-line">    <tt class="py-name">KW</tt> <tt class="py-op">=</tt> <tt class="py-name">e0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e3</tt> <tt class="py-op">+</tt> <tt class="py-name">e4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt>   </tt>
<a name="L76"></a><tt class="py-lineno"> 76</tt>  <tt class="py-line"> </tt>
<a name="L77"></a><tt class="py-lineno"> 77</tt>  <tt class="py-line">    <tt class="py-comment"># --- seawater, P = 0 ---</tt> </tt>
<a name="L78"></a><tt class="py-lineno"> 78</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L79"></a><tt class="py-lineno"> 79</tt>  <tt class="py-line">    <tt class="py-name">SR</tt> <tt class="py-op">=</tt> <tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">0.5</tt> </tt>
<a name="L80"></a><tt class="py-lineno"> 80</tt>  <tt class="py-line"> </tt>
<a name="L81"></a><tt class="py-lineno"> 81</tt>  <tt class="py-line">    <tt class="py-name">i0</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.2838E-3</tt> </tt>
<a name="L82"></a><tt class="py-lineno"> 82</tt>  <tt class="py-line">    <tt class="py-name">i1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.0981E-5</tt> </tt>
<a name="L83"></a><tt class="py-lineno"> 83</tt>  <tt class="py-line">    <tt class="py-name">i2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.6078E-6</tt> </tt>
<a name="L84"></a><tt class="py-lineno"> 84</tt>  <tt class="py-line">    <tt class="py-name">j0</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.91075E-4</tt> </tt>
<a name="L85"></a><tt class="py-lineno"> 85</tt>  <tt class="py-line">    <tt class="py-name">A</tt>  <tt class="py-op">=</tt> <tt class="py-name">AW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">i0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">i1</tt> <tt class="py-op">+</tt> <tt class="py-name">i2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> <tt class="py-op">+</tt> <tt class="py-name">j0</tt><tt class="py-op">*</tt><tt class="py-name">SR</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt>  </tt>
<a name="L86"></a><tt class="py-lineno"> 86</tt>  <tt class="py-line"> </tt>
<a name="L87"></a><tt class="py-lineno"> 87</tt>  <tt class="py-line">    <tt class="py-name">f0</tt> <tt class="py-op">=</tt> <tt class="py-number">54.6746</tt> </tt>
<a name="L88"></a><tt class="py-lineno"> 88</tt>  <tt class="py-line">    <tt class="py-name">f1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">0.603459</tt> </tt>
<a name="L89"></a><tt class="py-lineno"> 89</tt>  <tt class="py-line">    <tt class="py-name">f2</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.09987E-2</tt> </tt>
<a name="L90"></a><tt class="py-lineno"> 90</tt>  <tt class="py-line">    <tt class="py-name">f3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.1670E-5</tt> </tt>
<a name="L91"></a><tt class="py-lineno"> 91</tt>  <tt class="py-line">    <tt class="py-name">g0</tt> <tt class="py-op">=</tt>  <tt class="py-number">7.944E-2</tt> </tt>
<a name="L92"></a><tt class="py-lineno"> 92</tt>  <tt class="py-line">    <tt class="py-name">g1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.6483E-2</tt> </tt>
<a name="L93"></a><tt class="py-lineno"> 93</tt>  <tt class="py-line">    <tt class="py-name">g2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.3009E-4</tt> </tt>
<a name="L94"></a><tt class="py-lineno"> 94</tt>  <tt class="py-line">    <tt class="py-name">K0</tt> <tt class="py-op">=</tt> <tt class="py-name">KW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">f0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">f1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">f2</tt> <tt class="py-op">+</tt> <tt class="py-name">f3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt>  \ </tt>
<a name="L95"></a><tt class="py-lineno"> 95</tt>  <tt class="py-line">            <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">g0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">g1</tt> <tt class="py-op">+</tt> <tt class="py-name">g2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">SR</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt>    </tt>
<a name="L96"></a><tt class="py-lineno"> 96</tt>  <tt class="py-line"> </tt>
<a name="L97"></a><tt class="py-lineno"> 97</tt>  <tt class="py-line">    <tt class="py-comment"># --- General expression ---</tt> </tt>
<a name="L98"></a><tt class="py-lineno"> 98</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L99"></a><tt class="py-lineno"> 99</tt>  <tt class="py-line">    <tt class="py-name">m0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">9.9348E-7</tt> </tt>
<a name="L100"></a><tt class="py-lineno">100</tt>  <tt class="py-line">    <tt class="py-name">m1</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.0816E-8</tt> </tt>
<a name="L101"></a><tt class="py-lineno">101</tt>  <tt class="py-line">    <tt class="py-name">m2</tt> <tt class="py-op">=</tt>  <tt class="py-number">9.1697E-10</tt> </tt>
<a name="L102"></a><tt class="py-lineno">102</tt>  <tt class="py-line">    <tt class="py-name">B</tt> <tt class="py-op">=</tt> <tt class="py-name">BW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">m0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">m1</tt> <tt class="py-op">+</tt> <tt class="py-name">m2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt>   </tt>
<a name="L103"></a><tt class="py-lineno">103</tt>  <tt class="py-line"> </tt>
<a name="L104"></a><tt class="py-lineno">104</tt>  <tt class="py-line">    <tt class="py-name">K</tt> <tt class="py-op">=</tt> <tt class="py-name">K0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">A</tt> <tt class="py-op">+</tt> <tt class="py-name">B</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt>  </tt>
<a name="L105"></a><tt class="py-lineno">105</tt>  <tt class="py-line"> </tt>
<a name="L106"></a><tt class="py-lineno">106</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">K</tt> </tt>
</div><a name="L107"></a><tt class="py-lineno">107</tt>  <tt class="py-line">  </tt>
<a name="L108"></a><tt class="py-lineno">108</tt>  <tt class="py-line"><tt class="py-comment"># ----------------------------------------------</tt> </tt>
<a name="L109"></a><tt class="py-lineno">109</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="dens"></a><div id="dens-def"><a name="L110"></a><tt class="py-lineno">110</tt> <a class="py-toggle" href="#" id="dens-toggle" onclick="return toggle('dens');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#dens">dens</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt> <tt class="py-param">T</tt><tt class="py-op">,</tt> <tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="dens-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="dens-expanded"><a name="L111"></a><tt class="py-lineno">111</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute density of seawater from salinity, temperature, and pressure</tt> </tt>
<a name="L112"></a><tt class="py-lineno">112</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L113"></a><tt class="py-lineno">113</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: dens(S, T, [P])</tt> </tt>
<a name="L114"></a><tt class="py-lineno">114</tt>  <tt class="py-line"><tt class="py-docstring"> </tt> </tt>
<a name="L115"></a><tt class="py-lineno">115</tt>  <tt class="py-line"><tt class="py-docstring">    Input:               </tt> </tt>
<a name="L116"></a><tt class="py-lineno">116</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L117"></a><tt class="py-lineno">117</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L118"></a><tt class="py-lineno">118</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar = 10**4 Pa]</tt> </tt>
<a name="L119"></a><tt class="py-lineno">119</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with default value zero</tt> </tt>
<a name="L120"></a><tt class="py-lineno">120</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L121"></a><tt class="py-lineno">121</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L122"></a><tt class="py-lineno">122</tt>  <tt class="py-line"><tt class="py-docstring">        Density,          [kg/m**3]</tt> </tt>
<a name="L123"></a><tt class="py-lineno">123</tt>  <tt class="py-line"><tt class="py-docstring"> </tt> </tt>
<a name="L124"></a><tt class="py-lineno">124</tt>  <tt class="py-line"><tt class="py-docstring">    Algorithm: UNESCO 1983</tt> </tt>
<a name="L125"></a><tt class="py-lineno">125</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L126"></a><tt class="py-lineno">126</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L127"></a><tt class="py-lineno">127</tt>  <tt class="py-line"> </tt>
<a name="L128"></a><tt class="py-lineno">128</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-number">0.1</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> <tt class="py-comment"># Convert to bar</tt> </tt>
<a name="L129"></a><tt class="py-lineno">129</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">_dens0</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-op">(</tt><tt class="py-number">1</tt> <tt class="py-op">-</tt> <tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-name">_seck</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
</div><a name="L130"></a><tt class="py-lineno">130</tt>  <tt class="py-line"> </tt>
<a name="L131"></a><tt class="py-lineno">131</tt>  <tt class="py-line"><tt class="py-comment"># -------------------------------------------</tt> </tt>
<a name="L132"></a><tt class="py-lineno">132</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="svan"></a><div id="svan-def"><a name="L133"></a><tt class="py-lineno">133</tt> <a class="py-toggle" href="#" id="svan-toggle" onclick="return toggle('svan');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#svan">svan</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="svan-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="svan-expanded"><a name="L134"></a><tt class="py-lineno">134</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute specific volume anomaly</tt> </tt>
<a name="L135"></a><tt class="py-lineno">135</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L136"></a><tt class="py-lineno">136</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: svan(S, T, [P])</tt> </tt>
<a name="L137"></a><tt class="py-lineno">137</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L138"></a><tt class="py-lineno">138</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L139"></a><tt class="py-lineno">139</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L140"></a><tt class="py-lineno">140</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L141"></a><tt class="py-lineno">141</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L142"></a><tt class="py-lineno">142</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L143"></a><tt class="py-lineno">143</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L144"></a><tt class="py-lineno">144</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L145"></a><tt class="py-lineno">145</tt>  <tt class="py-line"><tt class="py-docstring">        Specific volume anomaly  [m**3/kg]</tt> </tt>
<a name="L146"></a><tt class="py-lineno">146</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L147"></a><tt class="py-lineno">147</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L148"></a><tt class="py-lineno">148</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-number">1.0</tt><tt class="py-op">/</tt><tt id="link-0" class="py-name" targets="Function octant.sw.density.dens()=octant.sw.density-module.html#dens"><a title="octant.sw.density.dens" class="py-name" href="#" onclick="return doclink('link-0', 'dens', 'link-0');">dens</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-number">1.0</tt><tt class="py-op">/</tt><tt id="link-1" class="py-name"><a title="octant.sw.density.dens" class="py-name" href="#" onclick="return doclink('link-1', 'dens', 'link-0');">dens</a></tt><tt class="py-op">(</tt><tt class="py-number">35</tt><tt class="py-op">,</tt><tt class="py-number">0</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
</div><a name="L149"></a><tt class="py-lineno">149</tt>  <tt class="py-line"> </tt>
<a name="L150"></a><tt class="py-lineno">150</tt>  <tt class="py-line"><tt class="py-comment"># -----------------------------------------------</tt> </tt>
<a name="L151"></a><tt class="py-lineno">151</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="sigma"></a><div id="sigma-def"><a name="L152"></a><tt class="py-lineno">152</tt> <a class="py-toggle" href="#" id="sigma-toggle" onclick="return toggle('sigma');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#sigma">sigma</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="sigma-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="sigma-expanded"><a name="L153"></a><tt class="py-lineno">153</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute density anomaly, sigma-T</tt> </tt>
<a name="L154"></a><tt class="py-lineno">154</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L155"></a><tt class="py-lineno">155</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: sigma(S, T, [P])</tt> </tt>
<a name="L156"></a><tt class="py-lineno">156</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L157"></a><tt class="py-lineno">157</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L158"></a><tt class="py-lineno">158</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L159"></a><tt class="py-lineno">159</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L160"></a><tt class="py-lineno">160</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L161"></a><tt class="py-lineno">161</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L162"></a><tt class="py-lineno">162</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L163"></a><tt class="py-lineno">163</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L164"></a><tt class="py-lineno">164</tt>  <tt class="py-line"><tt class="py-docstring">       Density anomaly,  [kg/m**3]</tt> </tt>
<a name="L165"></a><tt class="py-lineno">165</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L166"></a><tt class="py-lineno">166</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L167"></a><tt class="py-lineno">167</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt id="link-2" class="py-name"><a title="octant.sw.density.dens" class="py-name" href="#" onclick="return doclink('link-2', 'dens', 'link-0');">dens</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> <tt class="py-op">-</tt> <tt class="py-number">1000.0</tt> </tt>
</div><a name="L168"></a><tt class="py-lineno">168</tt>  <tt class="py-line"> </tt>
<a name="L169"></a><tt class="py-lineno">169</tt>  <tt class="py-line"><tt class="py-comment"># ----------------------------------------------</tt> </tt>
<a name="L170"></a><tt class="py-lineno">170</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="drhodt"></a><div id="drhodt-def"><a name="L171"></a><tt class="py-lineno">171</tt> <a class="py-toggle" href="#" id="drhodt-toggle" onclick="return toggle('drhodt');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#drhodt">drhodt</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="drhodt-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="drhodt-expanded"><a name="L172"></a><tt class="py-lineno">172</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute temperature derivative of density</tt> </tt>
<a name="L173"></a><tt class="py-lineno">173</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L174"></a><tt class="py-lineno">174</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: drhodt(S, T, [P])</tt> </tt>
<a name="L175"></a><tt class="py-lineno">175</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L176"></a><tt class="py-lineno">176</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L177"></a><tt class="py-lineno">177</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L178"></a><tt class="py-lineno">178</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L179"></a><tt class="py-lineno">179</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L180"></a><tt class="py-lineno">180</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L181"></a><tt class="py-lineno">181</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L182"></a><tt class="py-lineno">182</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L183"></a><tt class="py-lineno">183</tt>  <tt class="py-line"><tt class="py-docstring">        Temperature derivative of density  [kg /(K m**3)]</tt> </tt>
<a name="L184"></a><tt class="py-lineno">184</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L185"></a><tt class="py-lineno">185</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L186"></a><tt class="py-lineno">186</tt>  <tt class="py-line"> </tt>
<a name="L187"></a><tt class="py-lineno">187</tt>  <tt class="py-line">    <tt class="py-name">a1</tt> <tt class="py-op">=</tt>  <tt class="py-number">6.793952e-2</tt> </tt>
<a name="L188"></a><tt class="py-lineno">188</tt>  <tt class="py-line">    <tt class="py-name">a2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.819058e-2</tt> </tt>
<a name="L189"></a><tt class="py-lineno">189</tt>  <tt class="py-line">    <tt class="py-name">a3</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.005055e-4</tt> </tt>
<a name="L190"></a><tt class="py-lineno">190</tt>  <tt class="py-line">    <tt class="py-name">a4</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.480332e-6</tt> </tt>
<a name="L191"></a><tt class="py-lineno">191</tt>  <tt class="py-line">    <tt class="py-name">a5</tt> <tt class="py-op">=</tt>  <tt class="py-number">3.268166e-8</tt> </tt>
<a name="L192"></a><tt class="py-lineno">192</tt>  <tt class="py-line"> </tt>
<a name="L193"></a><tt class="py-lineno">193</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.0899e-3</tt> </tt>
<a name="L194"></a><tt class="py-lineno">194</tt>  <tt class="py-line">    <tt class="py-name">b2</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.52876e-4</tt> </tt>
<a name="L195"></a><tt class="py-lineno">195</tt>  <tt class="py-line">    <tt class="py-name">b3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.47401e-6</tt> </tt>
<a name="L196"></a><tt class="py-lineno">196</tt>  <tt class="py-line">    <tt class="py-name">b4</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.155e-8</tt>  </tt>
<a name="L197"></a><tt class="py-lineno">197</tt>  <tt class="py-line"> </tt>
<a name="L198"></a><tt class="py-lineno">198</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.0227e-4</tt> </tt>
<a name="L199"></a><tt class="py-lineno">199</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">3.3092e-6</tt> </tt>
<a name="L200"></a><tt class="py-lineno">200</tt>  <tt class="py-line"> </tt>
<a name="L201"></a><tt class="py-lineno">201</tt>  <tt class="py-line">    <tt class="py-name">e1</tt> <tt class="py-op">=</tt>  <tt class="py-number">148.4206</tt> </tt>
<a name="L202"></a><tt class="py-lineno">202</tt>  <tt class="py-line">    <tt class="py-name">e2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.65421</tt> </tt>
<a name="L203"></a><tt class="py-lineno">203</tt>  <tt class="py-line">    <tt class="py-name">e3</tt> <tt class="py-op">=</tt>  <tt class="py-number">4.081431e-2</tt> </tt>
<a name="L204"></a><tt class="py-lineno">204</tt>  <tt class="py-line">    <tt class="py-name">e4</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">2.0621152e-4</tt> </tt>
<a name="L205"></a><tt class="py-lineno">205</tt>  <tt class="py-line"> </tt>
<a name="L206"></a><tt class="py-lineno">206</tt>  <tt class="py-line">    <tt class="py-name">f1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">0.603459</tt> </tt>
<a name="L207"></a><tt class="py-lineno">207</tt>  <tt class="py-line">    <tt class="py-name">f2</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.19974e-2</tt> </tt>
<a name="L208"></a><tt class="py-lineno">208</tt>  <tt class="py-line">    <tt class="py-name">f3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.8501e-4</tt> </tt>
<a name="L209"></a><tt class="py-lineno">209</tt>  <tt class="py-line">   </tt>
<a name="L210"></a><tt class="py-lineno">210</tt>  <tt class="py-line">    <tt class="py-name">g1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.6483e-2</tt> </tt>
<a name="L211"></a><tt class="py-lineno">211</tt>  <tt class="py-line">    <tt class="py-name">g2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.06018e-3</tt> </tt>
<a name="L212"></a><tt class="py-lineno">212</tt>  <tt class="py-line"> </tt>
<a name="L213"></a><tt class="py-lineno">213</tt>  <tt class="py-line">    <tt class="py-name">h1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.43713e-3</tt> </tt>
<a name="L214"></a><tt class="py-lineno">214</tt>  <tt class="py-line">    <tt class="py-name">h2</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.32184e-4</tt> </tt>
<a name="L215"></a><tt class="py-lineno">215</tt>  <tt class="py-line">    <tt class="py-name">h3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.733715e-6</tt> </tt>
<a name="L216"></a><tt class="py-lineno">216</tt>  <tt class="py-line">  </tt>
<a name="L217"></a><tt class="py-lineno">217</tt>  <tt class="py-line">    <tt class="py-name">i1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.0981e-5</tt> </tt>
<a name="L218"></a><tt class="py-lineno">218</tt>  <tt class="py-line">    <tt class="py-name">i2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">3.2156e-6</tt> </tt>
<a name="L219"></a><tt class="py-lineno">219</tt>  <tt class="py-line"> </tt>
<a name="L220"></a><tt class="py-lineno">220</tt>  <tt class="py-line">    <tt class="py-name">k1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.12293e-6</tt> </tt>
<a name="L221"></a><tt class="py-lineno">221</tt>  <tt class="py-line">    <tt class="py-name">k2</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.05574e-7</tt> </tt>
<a name="L222"></a><tt class="py-lineno">222</tt>  <tt class="py-line">   </tt>
<a name="L223"></a><tt class="py-lineno">223</tt>  <tt class="py-line">    <tt class="py-name">m1</tt> <tt class="py-op">=</tt> <tt class="py-number">2.0816e-8</tt> </tt>
<a name="L224"></a><tt class="py-lineno">224</tt>  <tt class="py-line">    <tt class="py-name">m2</tt> <tt class="py-op">=</tt> <tt class="py-number">1.83394e-9</tt> </tt>
<a name="L225"></a><tt class="py-lineno">225</tt>  <tt class="py-line"> </tt>
<a name="L226"></a><tt class="py-lineno">226</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-number">10.0</tt> </tt>
<a name="L227"></a><tt class="py-lineno">227</tt>  <tt class="py-line"> </tt>
<a name="L228"></a><tt class="py-lineno">228</tt>  <tt class="py-line">    <tt class="py-name">DSMOV</tt> <tt class="py-op">=</tt> <tt class="py-name">a1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a3</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">a4</tt> <tt class="py-op">+</tt> <tt class="py-name">a5</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L229"></a><tt class="py-lineno">229</tt>  <tt class="py-line">    <tt class="py-name">DRHO0</tt> <tt class="py-op">=</tt> <tt class="py-name">DSMOV</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">b3</tt> <tt class="py-op">+</tt> <tt class="py-name">b4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">c1</tt> <tt class="py-op">+</tt> <tt class="py-name">c2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">1.5</tt> </tt>
<a name="L230"></a><tt class="py-lineno">230</tt>  <tt class="py-line"> </tt>
<a name="L231"></a><tt class="py-lineno">231</tt>  <tt class="py-line">    <tt class="py-name">DAW</tt> <tt class="py-op">=</tt> <tt class="py-name">h1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">h2</tt> <tt class="py-op">+</tt> <tt class="py-name">h3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt> </tt>
<a name="L232"></a><tt class="py-lineno">232</tt>  <tt class="py-line">    <tt class="py-name">DA</tt>  <tt class="py-op">=</tt> <tt class="py-name">DAW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">i1</tt> <tt class="py-op">+</tt> <tt class="py-name">i2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> </tt>
<a name="L233"></a><tt class="py-lineno">233</tt>  <tt class="py-line">      </tt>
<a name="L234"></a><tt class="py-lineno">234</tt>  <tt class="py-line"> </tt>
<a name="L235"></a><tt class="py-lineno">235</tt>  <tt class="py-line">    <tt class="py-name">DBW</tt> <tt class="py-op">=</tt> <tt class="py-name">k1</tt> <tt class="py-op">+</tt> <tt class="py-name">k2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L236"></a><tt class="py-lineno">236</tt>  <tt class="py-line">    <tt class="py-name">DB</tt>  <tt class="py-op">=</tt> <tt class="py-name">DBW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">m1</tt> <tt class="py-op">+</tt> <tt class="py-name">m2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> </tt>
<a name="L237"></a><tt class="py-lineno">237</tt>  <tt class="py-line"> </tt>
<a name="L238"></a><tt class="py-lineno">238</tt>  <tt class="py-line">    <tt class="py-name">DKW</tt> <tt class="py-op">=</tt> <tt class="py-name">e1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e2</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">e3</tt> <tt class="py-op">+</tt> <tt class="py-name">e4</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt> </tt>
<a name="L239"></a><tt class="py-lineno">239</tt>  <tt class="py-line">    <tt class="py-name">DK0</tt> <tt class="py-op">=</tt> <tt class="py-name">DKW</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">f1</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">f2</tt> <tt class="py-op">+</tt> <tt class="py-name">f3</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">g1</tt> <tt class="py-op">+</tt> <tt class="py-name">g2</tt><tt class="py-op">*</tt><tt class="py-name">T</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">1.5</tt> </tt>
<a name="L240"></a><tt class="py-lineno">240</tt>  <tt class="py-line">    <tt class="py-name">DK</tt>  <tt class="py-op">=</tt> <tt class="py-name">DK0</tt> <tt class="py-op">+</tt> <tt class="py-op">(</tt><tt class="py-name">DA</tt> <tt class="py-op">+</tt> <tt class="py-name">DB</tt><tt class="py-op">*</tt><tt class="py-name">P</tt><tt class="py-op">)</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> </tt>
<a name="L241"></a><tt class="py-lineno">241</tt>  <tt class="py-line"> </tt>
<a name="L242"></a><tt class="py-lineno">242</tt>  <tt class="py-line">    <tt class="py-name">K</tt>    <tt class="py-op">=</tt> <tt class="py-name">_seck</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L243"></a><tt class="py-lineno">243</tt>  <tt class="py-line">    <tt class="py-name">RHO0</tt> <tt class="py-op">=</tt> <tt class="py-name">_dens0</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">)</tt>  </tt>
<a name="L244"></a><tt class="py-lineno">244</tt>  <tt class="py-line">    <tt class="py-name">denom</tt>  <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-name">K</tt> </tt>
<a name="L245"></a><tt class="py-lineno">245</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-op">(</tt><tt class="py-name">DRHO0</tt> <tt class="py-op">*</tt> <tt class="py-name">denom</tt> <tt class="py-op">-</tt> <tt class="py-name">RHO0</tt> <tt class="py-op">*</tt> <tt class="py-name">P</tt> <tt class="py-op">*</tt> <tt class="py-name">DK</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">K</tt><tt class="py-op">*</tt><tt class="py-name">K</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">denom</tt><tt class="py-op">*</tt><tt class="py-name">denom</tt><tt class="py-op">)</tt> </tt>
</div><a name="L246"></a><tt class="py-lineno">246</tt>  <tt class="py-line"> </tt>
<a name="L247"></a><tt class="py-lineno">247</tt>  <tt class="py-line"><tt class="py-comment"># -----------------------------------------------</tt> </tt>
<a name="L248"></a><tt class="py-lineno">248</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="alpha"></a><div id="alpha-def"><a name="L249"></a><tt class="py-lineno">249</tt> <a class="py-toggle" href="#" id="alpha-toggle" onclick="return toggle('alpha');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#alpha">alpha</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="alpha-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="alpha-expanded"><a name="L250"></a><tt class="py-lineno">250</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute thermal expansion coefficient</tt> </tt>
<a name="L251"></a><tt class="py-lineno">251</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L252"></a><tt class="py-lineno">252</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: alpha(S, T, [P])</tt> </tt>
<a name="L253"></a><tt class="py-lineno">253</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L254"></a><tt class="py-lineno">254</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L255"></a><tt class="py-lineno">255</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L256"></a><tt class="py-lineno">256</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L257"></a><tt class="py-lineno">257</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L258"></a><tt class="py-lineno">258</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L259"></a><tt class="py-lineno">259</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L260"></a><tt class="py-lineno">260</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L261"></a><tt class="py-lineno">261</tt>  <tt class="py-line"><tt class="py-docstring">        Thermal expansion coefficient,  [1/K]</tt> </tt>
<a name="L262"></a><tt class="py-lineno">262</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L263"></a><tt class="py-lineno">263</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L264"></a><tt class="py-lineno">264</tt>  <tt class="py-line">     </tt>
<a name="L265"></a><tt class="py-lineno">265</tt>  <tt class="py-line">    <tt class="py-name">ALPHA</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt> <tt id="link-3" class="py-name" targets="Function octant.sw.density.drhodt()=octant.sw.density-module.html#drhodt"><a title="octant.sw.density.drhodt" class="py-name" href="#" onclick="return doclink('link-3', 'drhodt', 'link-3');">drhodt</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt id="link-4" class="py-name"><a title="octant.sw.density.dens" class="py-name" href="#" onclick="return doclink('link-4', 'dens', 'link-0');">dens</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L266"></a><tt class="py-lineno">266</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">ALPHA</tt> </tt>
</div><a name="L267"></a><tt class="py-lineno">267</tt>  <tt class="py-line"> </tt>
<a name="L268"></a><tt class="py-lineno">268</tt>  <tt class="py-line"><tt class="py-comment"># ------------------------------------------------</tt> </tt>
<a name="L269"></a><tt class="py-lineno">269</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="drhods"></a><div id="drhods-def"><a name="L270"></a><tt class="py-lineno">270</tt> <a class="py-toggle" href="#" id="drhods-toggle" onclick="return toggle('drhods');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#drhods">drhods</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="drhods-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="drhods-expanded"><a name="L271"></a><tt class="py-lineno">271</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute salinity derivative of density</tt> </tt>
<a name="L272"></a><tt class="py-lineno">272</tt>  <tt class="py-line"><tt class="py-docstring">    </tt> </tt>
<a name="L273"></a><tt class="py-lineno">273</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: drhodt(S, T, [P])</tt> </tt>
<a name="L274"></a><tt class="py-lineno">274</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L275"></a><tt class="py-lineno">275</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L276"></a><tt class="py-lineno">276</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L277"></a><tt class="py-lineno">277</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L278"></a><tt class="py-lineno">278</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L279"></a><tt class="py-lineno">279</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L280"></a><tt class="py-lineno">280</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L281"></a><tt class="py-lineno">281</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L282"></a><tt class="py-lineno">282</tt>  <tt class="py-line"><tt class="py-docstring">        Salinity derivative of density [kg/m**3]</tt> </tt>
<a name="L283"></a><tt class="py-lineno">283</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L284"></a><tt class="py-lineno">284</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L285"></a><tt class="py-lineno">285</tt>  <tt class="py-line">     </tt>
<a name="L286"></a><tt class="py-lineno">286</tt>  <tt class="py-line">    <tt class="py-name">b0</tt> <tt class="py-op">=</tt>  <tt class="py-number">8.24493e-1</tt> </tt>
<a name="L287"></a><tt class="py-lineno">287</tt>  <tt class="py-line">    <tt class="py-name">b1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">4.0899e-3</tt> </tt>
<a name="L288"></a><tt class="py-lineno">288</tt>  <tt class="py-line">    <tt class="py-name">b2</tt> <tt class="py-op">=</tt>  <tt class="py-number">7.6438e-5</tt> </tt>
<a name="L289"></a><tt class="py-lineno">289</tt>  <tt class="py-line">    <tt class="py-name">b3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">8.2467e-7</tt> </tt>
<a name="L290"></a><tt class="py-lineno">290</tt>  <tt class="py-line">    <tt class="py-name">b4</tt> <tt class="py-op">=</tt>  <tt class="py-number">5.3875e-9</tt> </tt>
<a name="L291"></a><tt class="py-lineno">291</tt>  <tt class="py-line"> </tt>
<a name="L292"></a><tt class="py-lineno">292</tt>  <tt class="py-line">    <tt class="py-name">c0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.72466e-3</tt> </tt>
<a name="L293"></a><tt class="py-lineno">293</tt>  <tt class="py-line">    <tt class="py-name">c1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.0227e-4</tt> </tt>
<a name="L294"></a><tt class="py-lineno">294</tt>  <tt class="py-line">    <tt class="py-name">c2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.6546e-6</tt> </tt>
<a name="L295"></a><tt class="py-lineno">295</tt>  <tt class="py-line"> </tt>
<a name="L296"></a><tt class="py-lineno">296</tt>  <tt class="py-line">    <tt class="py-name">d0</tt> <tt class="py-op">=</tt>  <tt class="py-number">9.6628e-4</tt> </tt>
<a name="L297"></a><tt class="py-lineno">297</tt>  <tt class="py-line"> </tt>
<a name="L298"></a><tt class="py-lineno">298</tt>  <tt class="py-line">    <tt class="py-name">f0</tt> <tt class="py-op">=</tt> <tt class="py-number">54.6746</tt> </tt>
<a name="L299"></a><tt class="py-lineno">299</tt>  <tt class="py-line">    <tt class="py-name">f1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">0.603459</tt> </tt>
<a name="L300"></a><tt class="py-lineno">300</tt>  <tt class="py-line">    <tt class="py-name">f2</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.09987e-2</tt> </tt>
<a name="L301"></a><tt class="py-lineno">301</tt>  <tt class="py-line">    <tt class="py-name">f3</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">6.1670e-5</tt> </tt>
<a name="L302"></a><tt class="py-lineno">302</tt>  <tt class="py-line"> </tt>
<a name="L303"></a><tt class="py-lineno">303</tt>  <tt class="py-line">    <tt class="py-name">g0</tt> <tt class="py-op">=</tt>  <tt class="py-number">7.944e-2</tt> </tt>
<a name="L304"></a><tt class="py-lineno">304</tt>  <tt class="py-line">    <tt class="py-name">g1</tt> <tt class="py-op">=</tt>  <tt class="py-number">1.6483e-2</tt> </tt>
<a name="L305"></a><tt class="py-lineno">305</tt>  <tt class="py-line">    <tt class="py-name">g2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">5.3009e-4</tt> </tt>
<a name="L306"></a><tt class="py-lineno">306</tt>  <tt class="py-line"> </tt>
<a name="L307"></a><tt class="py-lineno">307</tt>  <tt class="py-line">    <tt class="py-name">i0</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.2838e-3</tt> </tt>
<a name="L308"></a><tt class="py-lineno">308</tt>  <tt class="py-line">    <tt class="py-name">i1</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.0981e-5</tt> </tt>
<a name="L309"></a><tt class="py-lineno">309</tt>  <tt class="py-line">    <tt class="py-name">i2</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">1.6078e-6</tt> </tt>
<a name="L310"></a><tt class="py-lineno">310</tt>  <tt class="py-line"> </tt>
<a name="L311"></a><tt class="py-lineno">311</tt>  <tt class="py-line">    <tt class="py-name">j0</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.866125e-4</tt> </tt>
<a name="L312"></a><tt class="py-lineno">312</tt>  <tt class="py-line"> </tt>
<a name="L313"></a><tt class="py-lineno">313</tt>  <tt class="py-line">    <tt class="py-name">m0</tt> <tt class="py-op">=</tt> <tt class="py-op">-</tt><tt class="py-number">9.9348e-7</tt> </tt>
<a name="L314"></a><tt class="py-lineno">314</tt>  <tt class="py-line">    <tt class="py-name">m1</tt> <tt class="py-op">=</tt>  <tt class="py-number">2.0816e-8</tt> </tt>
<a name="L315"></a><tt class="py-lineno">315</tt>  <tt class="py-line">    <tt class="py-name">m2</tt> <tt class="py-op">=</tt>  <tt class="py-number">9.1697e-10</tt> </tt>
<a name="L316"></a><tt class="py-lineno">316</tt>  <tt class="py-line"> </tt>
<a name="L317"></a><tt class="py-lineno">317</tt>  <tt class="py-line">    <tt class="py-name">P</tt> <tt class="py-op">=</tt> <tt class="py-number">0.1</tt><tt class="py-op">*</tt><tt class="py-name">P</tt> <tt class="py-comment"># Convert to bar</tt> </tt>
<a name="L318"></a><tt class="py-lineno">318</tt>  <tt class="py-line"> </tt>
<a name="L319"></a><tt class="py-lineno">319</tt>  <tt class="py-line">    <tt class="py-name">DRHO0</tt> <tt class="py-op">=</tt> <tt class="py-name">b0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">b1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">b2</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">b3</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">b4</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt>   \ </tt>
<a name="L320"></a><tt class="py-lineno">320</tt>  <tt class="py-line">           <tt class="py-number">1.5</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">c0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">c1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">c2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">S</tt><tt class="py-op">*</tt><tt class="py-name">d0</tt> </tt>
<a name="L321"></a><tt class="py-lineno">321</tt>  <tt class="py-line">    <tt class="py-name">DK0</tt> <tt class="py-op">=</tt> <tt class="py-name">f0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">f1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">f2</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">f3</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt>              \ </tt>
<a name="L322"></a><tt class="py-lineno">322</tt>  <tt class="py-line">           <tt class="py-number">1.5</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">0.5</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">g0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">g1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">g2</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
<a name="L323"></a><tt class="py-lineno">323</tt>  <tt class="py-line">    <tt class="py-name">DA</tt> <tt class="py-op">=</tt> <tt class="py-name">i0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">i1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">i2</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">j0</tt><tt class="py-op">*</tt><tt class="py-name">S</tt><tt class="py-op">**</tt><tt class="py-number">0.5</tt> </tt>
<a name="L324"></a><tt class="py-lineno">324</tt>  <tt class="py-line">    <tt class="py-name">DB</tt> <tt class="py-op">=</tt> <tt class="py-name">m0</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">m1</tt> <tt class="py-op">+</tt> <tt class="py-name">T</tt><tt class="py-op">*</tt><tt class="py-name">m2</tt><tt class="py-op">)</tt> </tt>
<a name="L325"></a><tt class="py-lineno">325</tt>  <tt class="py-line">    <tt class="py-name">DK</tt> <tt class="py-op">=</tt> <tt class="py-name">DK0</tt> <tt class="py-op">+</tt> <tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-name">DA</tt> <tt class="py-op">+</tt> <tt class="py-name">P</tt><tt class="py-op">*</tt><tt class="py-name">DB</tt><tt class="py-op">)</tt> </tt>
<a name="L326"></a><tt class="py-lineno">326</tt>  <tt class="py-line">    <tt class="py-name">RHO0</tt> <tt class="py-op">=</tt> <tt class="py-name">_dens0</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">)</tt> </tt>
<a name="L327"></a><tt class="py-lineno">327</tt>  <tt class="py-line">    <tt class="py-name">K</tt> <tt class="py-op">=</tt> <tt class="py-name">_seck</tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L328"></a><tt class="py-lineno">328</tt>  <tt class="py-line">    <tt class="py-name">denom</tt>  <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">P</tt><tt class="py-op">/</tt><tt class="py-name">K</tt> </tt>
<a name="L329"></a><tt class="py-lineno">329</tt>  <tt class="py-line">    <tt class="py-name">DRHO</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">DRHO0</tt> <tt class="py-op">*</tt> <tt class="py-name">denom</tt> <tt class="py-op">-</tt> <tt class="py-name">RHO0</tt> <tt class="py-op">*</tt> <tt class="py-name">P</tt> <tt class="py-op">*</tt> <tt class="py-name">DK</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">K</tt><tt class="py-op">*</tt><tt class="py-name">K</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">denom</tt><tt class="py-op">*</tt><tt class="py-name">denom</tt><tt class="py-op">)</tt> </tt>
<a name="L330"></a><tt class="py-lineno">330</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">DRHO</tt> </tt>
</div><a name="L331"></a><tt class="py-lineno">331</tt>  <tt class="py-line"> </tt>
<a name="L332"></a><tt class="py-lineno">332</tt>  <tt class="py-line"><tt class="py-comment"># ------------------------------------------------------</tt> </tt>
<a name="L333"></a><tt class="py-lineno">333</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="beta"></a><div id="beta-def"><a name="L334"></a><tt class="py-lineno">334</tt> <a class="py-toggle" href="#" id="beta-toggle" onclick="return toggle('beta');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="octant.sw.density-module.html#beta">beta</a><tt class="py-op">(</tt><tt class="py-param">S</tt><tt class="py-op">,</tt><tt class="py-param">T</tt><tt class="py-op">,</tt><tt class="py-param">P</tt><tt class="py-op">=</tt><tt class="py-number">0</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
</div><div id="beta-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="beta-expanded"><a name="L335"></a><tt class="py-lineno">335</tt>  <tt class="py-line">    <tt class="py-docstring">"""Compute saline expansion coefficient</tt> </tt>
<a name="L336"></a><tt class="py-lineno">336</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L337"></a><tt class="py-lineno">337</tt>  <tt class="py-line"><tt class="py-docstring">    Usage: alpha(S, T, [P])</tt> </tt>
<a name="L338"></a><tt class="py-lineno">338</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L339"></a><tt class="py-lineno">339</tt>  <tt class="py-line"><tt class="py-docstring">    Input:</tt> </tt>
<a name="L340"></a><tt class="py-lineno">340</tt>  <tt class="py-line"><tt class="py-docstring">        S = Salinity,     [PSS-78]</tt> </tt>
<a name="L341"></a><tt class="py-lineno">341</tt>  <tt class="py-line"><tt class="py-docstring">        T = Temperature,  [&#176;C]</tt> </tt>
<a name="L342"></a><tt class="py-lineno">342</tt>  <tt class="py-line"><tt class="py-docstring">        P = Pressure,     [dbar]</tt> </tt>
<a name="L343"></a><tt class="py-lineno">343</tt>  <tt class="py-line"><tt class="py-docstring">    P is optional, with a default value = zero</tt> </tt>
<a name="L344"></a><tt class="py-lineno">344</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L345"></a><tt class="py-lineno">345</tt>  <tt class="py-line"><tt class="py-docstring">    Output:</tt> </tt>
<a name="L346"></a><tt class="py-lineno">346</tt>  <tt class="py-line"><tt class="py-docstring">        Saline expansion coefficient</tt> </tt>
<a name="L347"></a><tt class="py-lineno">347</tt>  <tt class="py-line"><tt class="py-docstring"></tt> </tt>
<a name="L348"></a><tt class="py-lineno">348</tt>  <tt class="py-line"><tt class="py-docstring">    """</tt> </tt>
<a name="L349"></a><tt class="py-lineno">349</tt>  <tt class="py-line"> </tt>
<a name="L350"></a><tt class="py-lineno">350</tt>  <tt class="py-line">    <tt class="py-name">BETA</tt> <tt class="py-op">=</tt> <tt id="link-5" class="py-name" targets="Function octant.sw.density.drhods()=octant.sw.density-module.html#drhods"><a title="octant.sw.density.drhods" class="py-name" href="#" onclick="return doclink('link-5', 'drhods', 'link-5');">drhods</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt id="link-6" class="py-name"><a title="octant.sw.density.dens" class="py-name" href="#" onclick="return doclink('link-6', 'dens', 'link-0');">dens</a></tt><tt class="py-op">(</tt><tt class="py-name">S</tt><tt class="py-op">,</tt><tt class="py-name">T</tt><tt class="py-op">,</tt><tt class="py-name">P</tt><tt class="py-op">)</tt> </tt>
<a name="L351"></a><tt class="py-lineno">351</tt>  <tt class="py-line">    <tt class="py-keyword">return</tt> <tt class="py-name">BETA</tt> </tt>
</div><a name="L352"></a><tt class="py-lineno">352</tt>  <tt class="py-line"> </tt>
<a name="L353"></a><tt class="py-lineno">353</tt>  <tt class="py-line"> </tt>
<a name="L354"></a><tt class="py-lineno">354</tt>  <tt class="py-line"><tt class="py-comment">### SALINITY FUNCTIONS #################################</tt> </tt>
<a name="L355"></a><tt class="py-lineno">355</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L356"></a><tt class="py-lineno">356</tt>  <tt class="py-line"><tt class="py-comment">## def _sal(XR,XT):</tt> </tt>
<a name="L357"></a><tt class="py-lineno">357</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L358"></a><tt class="py-lineno">358</tt>  <tt class="py-line"><tt class="py-comment">##     a0 =  0.0080</tt> </tt>
<a name="L359"></a><tt class="py-lineno">359</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a1 = -0.1692</tt> </tt>
<a name="L360"></a><tt class="py-lineno">360</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a2 = 25.3851</tt> </tt>
<a name="L361"></a><tt class="py-lineno">361</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a3 = 14.0941</tt> </tt>
<a name="L362"></a><tt class="py-lineno">362</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a4 = -7.0261</tt> </tt>
<a name="L363"></a><tt class="py-lineno">363</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a5 =  2.7081</tt> </tt>
<a name="L364"></a><tt class="py-lineno">364</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L365"></a><tt class="py-lineno">365</tt>  <tt class="py-line"><tt class="py-comment">##     b0 =  0.0005</tt> </tt>
<a name="L366"></a><tt class="py-lineno">366</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b1 = -0.0056</tt> </tt>
<a name="L367"></a><tt class="py-lineno">367</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b2 = -0.0066</tt> </tt>
<a name="L368"></a><tt class="py-lineno">368</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b3 = -0.0375</tt> </tt>
<a name="L369"></a><tt class="py-lineno">369</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b4 =  0.0636</tt> </tt>
<a name="L370"></a><tt class="py-lineno">370</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b5 = -0.0144</tt> </tt>
<a name="L371"></a><tt class="py-lineno">371</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L372"></a><tt class="py-lineno">372</tt>  <tt class="py-line"><tt class="py-comment">##     k  =  0.0162</tt> </tt>
<a name="L373"></a><tt class="py-lineno">373</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L374"></a><tt class="py-lineno">374</tt>  <tt class="py-line"><tt class="py-comment">##     DS = (XT / (1+k*XT) ) *        \</tt> </tt>
<a name="L375"></a><tt class="py-lineno">375</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##          (b0 + (b1 + (b2 + (b3 + (b4 + b5*XR)*XR)*XR)*XR)*XR)</tt> </tt>
<a name="L376"></a><tt class="py-lineno">376</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L377"></a><tt class="py-lineno">377</tt>  <tt class="py-line"><tt class="py-comment">##     return a0 + (a1 + (a2 + (a3 + (a4 + a5*XR)*XR)*XR)*XR)*XR + DS</tt> </tt>
<a name="L378"></a><tt class="py-lineno">378</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L379"></a><tt class="py-lineno">379</tt>  <tt class="py-line"><tt class="py-comment">## # ---------------------------------------------------</tt> </tt>
<a name="L380"></a><tt class="py-lineno">380</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L381"></a><tt class="py-lineno">381</tt>  <tt class="py-line"><tt class="py-comment">## def _dsal(XR,XT):</tt> </tt>
<a name="L382"></a><tt class="py-lineno">382</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L383"></a><tt class="py-lineno">383</tt>  <tt class="py-line"><tt class="py-comment">##     a1 = -0.1692</tt> </tt>
<a name="L384"></a><tt class="py-lineno">384</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a2 = 25.3851</tt> </tt>
<a name="L385"></a><tt class="py-lineno">385</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a3 = 14.0941</tt> </tt>
<a name="L386"></a><tt class="py-lineno">386</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a4 = -7.0261</tt> </tt>
<a name="L387"></a><tt class="py-lineno">387</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     a5 =  2.7081</tt> </tt>
<a name="L388"></a><tt class="py-lineno">388</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L389"></a><tt class="py-lineno">389</tt>  <tt class="py-line"><tt class="py-comment">##     b1 = -0.0056</tt> </tt>
<a name="L390"></a><tt class="py-lineno">390</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b2 = -0.0066</tt> </tt>
<a name="L391"></a><tt class="py-lineno">391</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b3 = -0.0375</tt> </tt>
<a name="L392"></a><tt class="py-lineno">392</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b4 =  0.0636</tt> </tt>
<a name="L393"></a><tt class="py-lineno">393</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     b5 = -0.0144</tt> </tt>
<a name="L394"></a><tt class="py-lineno">394</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L395"></a><tt class="py-lineno">395</tt>  <tt class="py-line"><tt class="py-comment">##     k  =  0.0162</tt> </tt>
<a name="L396"></a><tt class="py-lineno">396</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L397"></a><tt class="py-lineno">397</tt>  <tt class="py-line"><tt class="py-comment">##     dDS = (XT / (1+k*XT) ) *      \</tt> </tt>
<a name="L398"></a><tt class="py-lineno">398</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##           (b1 + (b2*2 + (b3*3 + (b4*4 + b5*5*XR)*XR)*XR)*XR)</tt> </tt>
<a name="L399"></a><tt class="py-lineno">399</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L400"></a><tt class="py-lineno">400</tt>  <tt class="py-line"><tt class="py-comment">##     return a1 + (a2*2 + (a3*3 + (a4*4 + a5*5*XR)*XR)*XR)*XR + dDS</tt> </tt>
<a name="L401"></a><tt class="py-lineno">401</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L402"></a><tt class="py-lineno">402</tt>  <tt class="py-line"><tt class="py-comment">## # ---------------------------------------------</tt> </tt>
<a name="L403"></a><tt class="py-lineno">403</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L404"></a><tt class="py-lineno">404</tt>  <tt class="py-line"><tt class="py-comment">## def _rt(T):</tt> </tt>
<a name="L405"></a><tt class="py-lineno">405</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L406"></a><tt class="py-lineno">406</tt>  <tt class="py-line"><tt class="py-comment">##     c0 =  0.6766097</tt> </tt>
<a name="L407"></a><tt class="py-lineno">407</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     c1 =  2.00564e-2</tt> </tt>
<a name="L408"></a><tt class="py-lineno">408</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     c2 =  1.104259e-4</tt> </tt>
<a name="L409"></a><tt class="py-lineno">409</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     c3 = -6.9698e-7</tt> </tt>
<a name="L410"></a><tt class="py-lineno">410</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     c4 =  1.0031e-9</tt> </tt>
<a name="L411"></a><tt class="py-lineno">411</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L412"></a><tt class="py-lineno">412</tt>  <tt class="py-line"><tt class="py-comment">##     return c0 + (c1 + (c2 + (c3 + c4*T)*T)*T)*T</tt> </tt>
<a name="L413"></a><tt class="py-lineno">413</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L414"></a><tt class="py-lineno">414</tt>  <tt class="py-line"><tt class="py-comment">## # ---------------------------------------------------</tt> </tt>
<a name="L415"></a><tt class="py-lineno">415</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L416"></a><tt class="py-lineno">416</tt>  <tt class="py-line"><tt class="py-comment">## def _c(P):</tt> </tt>
<a name="L417"></a><tt class="py-lineno">417</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L418"></a><tt class="py-lineno">418</tt>  <tt class="py-line"><tt class="py-comment">##     e1 =  2.070e-5</tt> </tt>
<a name="L419"></a><tt class="py-lineno">419</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     e2 = -6.370e-10</tt> </tt>
<a name="L420"></a><tt class="py-lineno">420</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     e3 =  3.989e-15</tt> </tt>
<a name="L421"></a><tt class="py-lineno">421</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L422"></a><tt class="py-lineno">422</tt>  <tt class="py-line"><tt class="py-comment">##     return (e1 + (e2 + e3*P)*P)*P</tt> </tt>
<a name="L423"></a><tt class="py-lineno">423</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L424"></a><tt class="py-lineno">424</tt>  <tt class="py-line"><tt class="py-comment">## # ---------------------------------------------------</tt> </tt>
<a name="L425"></a><tt class="py-lineno">425</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L426"></a><tt class="py-lineno">426</tt>  <tt class="py-line"><tt class="py-comment">## def _b(T):</tt> </tt>
<a name="L427"></a><tt class="py-lineno">427</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L428"></a><tt class="py-lineno">428</tt>  <tt class="py-line"><tt class="py-comment">##     d1 =  3.426e-2</tt> </tt>
<a name="L429"></a><tt class="py-lineno">429</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     d2 =  4.464e-4</tt> </tt>
<a name="L430"></a><tt class="py-lineno">430</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L431"></a><tt class="py-lineno">431</tt>  <tt class="py-line"><tt class="py-comment">##     return 1.0 + (d1 + d2*T)*T</tt> </tt>
<a name="L432"></a><tt class="py-lineno">432</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L433"></a><tt class="py-lineno">433</tt>  <tt class="py-line"><tt class="py-comment">## # ---------------------------------------------------</tt> </tt>
<a name="L434"></a><tt class="py-lineno">434</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt>
<a name="L435"></a><tt class="py-lineno">435</tt>  <tt class="py-line"><tt class="py-comment">## def _a(T):</tt> </tt>
<a name="L436"></a><tt class="py-lineno">436</tt>  <tt class="py-line"><tt class="py-comment"></tt>     </tt>
<a name="L437"></a><tt class="py-lineno">437</tt>  <tt class="py-line"><tt class="py-comment">##     d3 =  4.215e-1</tt> </tt>
<a name="L438"></a><tt class="py-lineno">438</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     d4 = -3.107e-3    </tt> </tt>
<a name="L439"></a><tt class="py-lineno">439</tt>  <tt class="py-line"><tt class="py-comment"></tt><tt class="py-comment">##     return d3 + d4*T</tt> </tt>
<a name="L440"></a><tt class="py-lineno">440</tt>  <tt class="py-line"><tt class="py-comment"></tt> </tt><script type="text/javascript">
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